What is the Greatest Common Factor of 9828 and 9846?

Greatest common factor (GCF) of 9828 and 9846 is 18.

GCF(9828,9846) = 18

We will now calculate the prime factors of 9828 and 9846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9828 and 9846.

How to find the GCF of 9828 and 9846?

We will first find the prime factorization of 9828 and 9846. After we will calculate the factors of 9828 and 9846 and find the biggest common factor number .

Step-1: Prime Factorization of 9828

Prime factors of 9828 are 2, 3, 7, 13. Prime factorization of 9828 in exponential form is:

9828 = 2² × 3³ × 7¹ × 13¹

Step-2: Prime Factorization of 9846

Prime factors of 9846 are 2, 3, 547. Prime factorization of 9846 in exponential form is:

9846 = 2¹ × 3² × 547¹

Step-3: Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914

Step-4: Factors of 9846

List of positive integer factors of 9846 that divides 9828 without a remainder.

1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9828 and 9846. The biggest common factor number is the GCF number.
So the greatest common factor 9828 and 9846 is 18.

Also check out the Least Common Multiple of 9828 and 9846